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121214340340 = 22519730765061
BaseRepresentation
bin111000011100011110…
…0000000110011110100
3102120212122011111021121
41300320330000303310
53441221332342330
6131403551553324
711520542615152
oct1607074006364
9376778144247
10121214340340
1147452375a85
121b5aa52b844
13b57995cb52
145c1c72a3d2
1532468c517a
hex1c38f00cf4

121214340340 has 24 divisors (see below), whose sum is σ = 255842255592. Its totient is φ = 48239614080.

The previous prime is 121214340323. The next prime is 121214340347. The reversal of 121214340340 is 43043412121.

It can be written as a sum of positive squares in 4 ways, for example, as 9168828516 + 112045511824 = 95754^2 + 334732^2 .

It is a super-2 number, since 2×1212143403402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121214340347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15378591 + ... + 15386470.

It is an arithmetic number, because the mean of its divisors is an integer number (10660093983).

Almost surely, 2121214340340 is an apocalyptic number.

121214340340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121214340340 is an abundant number, since it is smaller than the sum of its proper divisors (134627915252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121214340340 is a wasteful number, since it uses less digits than its factorization.

121214340340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30765267 (or 30765265 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 121214340340 its reverse (43043412121), we get a palindrome (164257752461).

The spelling of 121214340340 in words is "one hundred twenty-one billion, two hundred fourteen million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 197 394 788 985 1970 3940 30765061 61530122 123060244 153825305 307650610 615301220 6060717017 12121434034 24242868068 30303585085 60607170170 121214340340